MATH2230C - Complex Variables with Applications - 2017/18

Teacher: 
Course Year: 
2017/18
Term: 
2

Announcement

  • The first midterm will be on Feb. 8 in class. Topics will be announced later
  • The second midterm will be on Mar. 15 in class. Topics will be announced later

General Information

Lecturer

  • YU, YONG
    • Office: LSB 214
    • Tel: 39438900
    • Email:
    • Office Hours: Anytime when available

Teaching Assistant

  • CHEN, YUAN
    • Office: LSB 232
    • Tel: 39435294
    • Email:
  • TAI, HO MAN
    • Office: LSB 232
    • Tel: 39435294
    • Email:

Time and Venue

  • Lecture: Tu 4:30PM - 6:15PM, LSB LT5; Th 4:30PM - 5:15PM LSB LT2
  • Tutorial: Th 9:30AM - 10:15AM, LSB C2; Th 2:30PM - 3:15PM , LT3; Th 5:30PM - 6:15PM, LT5

Course Description

This course is to introduce the basic properties of complex functions and analytic functions and to illustrate the important use of these theories to other branches of mathematics and sciences. Topics include: complex numbers; limits, continuity and derivatives, Cauchy-Riemann equations, analytic functions; elementary functions; mapping by elementary functions; Contours integrals, Cauchy-Goursat theorem, Cauchy integral formula, Morera’s theorem, maximum moduli of functions, the fundamental theorem of algebra; Taylor series and Laurent’s series; residues and poles, evaluation of infinite real integrals.


Textbooks

  • Complex Variables and Applications, Ninth Edition, by James Ward Brown/Ruel V. Churchill

References

  • Complex Analysis, Princeton lectures in analysis II, by Elias M. Stein/Rami Shakarchi
  • Complex Analysis: An Introduction to the Theory of Analytic Functions of One Variable, by Lars Ahlfors

Lecture Notes


Assignments


Assessment Scheme

Midterm 1 20%
Midterm 2 20%
Homework  10%
Final 50%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.


Assessment Policy

Last updated: January 19, 2018 10:01:31